220540320 has 960 divisors, whose sum is σ = 1106493696. Its totient is φ = 39813120.

The previous prime is 220540291. The next prime is 220540339. The reversal of 220540320 is 23045022.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 220540293 and 220540302.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 1326 × 126 × 1320.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12972952 + ... + 12972968.

Almost surely, 2^220540320 is an apocalyptic number.

220540320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220540320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553246848).

220540320 is an abundant number, since it is smaller than the sum of its proper divisors (885953376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

220540320 is a wasteful number, since it uses less digits than its factorization.

220540320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 220540320 is about 14850.5999878793. The cubic root of 220540320 is about 604.1748832071.

Adding to 220540320 its reverse (23045022), we get a palindrome (243585342).

The spelling of 220540320 in words is "two hundred twenty million, five hundred forty thousand, three hundred twenty".